$.$ Consider the graph G $=($V$,$ E$)$ where

V $=\{1,2,3\}$

and

E $=\{(1,2),(1,3),(3,3)\}$

$($a$)$ Illustrate G when G is

i$.$ An undirected graph

ii$.$ A directed graph

$($b$)$ Give the adjacency matrix of G when G is

i$.$ An undirected graph

ii$.$ A directed graph